Discrete Mathematics with Graph Theory, 1/e
Edgar G. Goodaire, Memorial Univ of Newfoundland
Michael M. Parmenter, Memorial Univ of Newfoundland
Published August, 1997 by Prentice Hall Engineering/Science/Mathematics
Copyright 1998, 527 pp.
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Adopting a user-friendly, conversationaland at times humorousstyle,
these authors make the principles and practices of discrete mathematics
as stimulating as possible while presenting comprehensive, rigorous coverage.
Examples and exercises integrated throughout each chapter serve to
pique student interest and bring clarity to even the most complex
concepts. Above all, the book is designed to engage today's students
in the interesting, applicable facets of modern mathematics.
Uses topics in discrete math as a vehicle for teaching proofs,
introducing the basic elements of logic and the major methods of proof
by guiding readers through examples, rather than relying on truth
Draws attention to the technique about to be employed before
giving each proof.
Designs coverage with the inexperienced student in mind,
establishing a pace that is leisurely and conversational, yet rigorous
and serious about theorem proving.
Places an unusually strong emphasis on graph theory, incorporating
its coverage throughout seven chapters.
Provides comprehensive coverage of number theory which concludes
with a section of applications to the real world, including ISBNs,
universal product codes, and cryptography.
Designs coverage to be flexible enough to suit several quite
distinct types of one-semester courses.
Offers more than 180 worked examples and problems, over
1,000 exercises, and 140 Pausesshort questions inserted
at strategic points throughout each discussion and designed to reinforce
a particular point.
Keeps material interesting and readers alert by incorporating
relevant applications and historical anecdotes throughout.
- Provides full solutions to Pauses at the end
of each section, prior to the exercise sets.
0. Yes, There Are Proofs!
1. Sets and Relations.
3. The Integers.
4. Induction and Recursion.
5. Principles of Counting.
6. Permutations and Combinations.
9. Paths and Circuits.
10. Applications of Paths and Circuits.
12. Depth-First Search and Applications.
13. Planar Graphs and Colorings.
14. The Max FlowMin Cut Theorem.
Solutions to Selected Exercises.